TITLE: How do I determine if I should submit a sequence of numbers to the OEIS?
QUESTION [7 upvotes]: When I search a sequence in the OEIS and it's not there, it gives me a message saying "If your sequence is of general interest, please submit it using the form provided and it will (probably) be added to the OEIS!"
But I'm not always sure if I should. It's clear in cases when I made a mistake, I correct my mistake and the right sequence comes up; the OEIS does not need my erroneous version. But in other cases, it looks like my computations are totally correct and the sequence is not in the OEIS, but I'm not sure it's really worth adding, and that thing about "general interest" sounds kind of vague, plus there are some sequences in the OEIS that seem like they're of interest only to a very small group of specialists.
What criteria would you suggest to apply to a particular sequence to help me decide about submitting it one way or the other?
P.S. Something that occasionally happens is that it will tell me something like "Your sequence appears to be: $+ 20 x + 3  $. (I searched for "23,43,63,83,103,123,143").

REPLY [2 votes]: I would submit any sequence related to typical analytic maneuvers and forms that lie in the intersection of diverse fields of mathematics. For example, in dynamical systems, nonlinear PDEs, complex calculus, and differential geometry, the Schwarzian derivative frequently pops up and can be represented quite simply in terms of a convolution of the Faber polynomials (cf. OEIS A263646). In algebraic geometry, special functions, group theory, differential topology, and operator calculus, the various classes of symmetrc polynomials play special roles, so any array related to non-trivial transformations between the classes should be submitted (cf. A036039).